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Finding the Third Proportional to 342,001.50 and 511,087.50

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Solution

The third proportional to 342,001.50 and 511,087.50 is: 763,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,001.50 : 511,087.50 = 511,087.50 : x
  2. Step 2: Convert to fraction form
    342,001.50/511,087.50 = 511,087.50/x
  3. Step 3: Cross multiply
    342,001.50x = 511,087.50 × 511,087.50
  4. Step 4: Simplify right side
    342,001.50x = 261,210,432,656.25
  5. Step 5: Solve for x
    x = 261,210,432,656.25/342,001.50
  6. Step 6: Final answer
    x = 763,769.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.